![silverns](/avatars/31574.jpg)
silverns
09.07.2019 •
Mathematics
Find the points on the curve y=2x^3+3x^2-12x+1 where the tangent is horizontal
Solved
Show answers
More tips
- G Goods and services LED-подсветка в LCD-телевизорах: 5 причин, почему она лучше других технологий...
- P Photography and Videography Understanding HDR: How It Works and Why You Need It...
- P Photography and Videography How to Choose the Perfect Photo Paper for Your Images?...
- C Computers and Internet How to Choose an Uninterruptible Power Supply (UPS) for Your Computer: Expert Tips...
- S Science and Technology How to choose a home theater system?...
- A Auto and Moto How to Choose a Car Wash? Tips and Recommendations...
- A Animals and plants How ants survive winter: exploring the secrets of their winter life...
- C Construction and repair How to Choose the Best Underfloor Heating?...
- S Sport When is the Champions League final?...
- S Sport When and Where Will the 2014 World Cup be Held?...
Answers on questions: Mathematics
- M Mathematics 5. What is the value of the lower quartile?...
- M Mathematics 100 pyramid shaped chocolate candies with the square base with 12 mm size and height of 15 mm or melted in a cylinder coil pot. If the part has a radius of 75 mm what...
- M Mathematics Please answer thank you ((:...
- M Mathematics IF N|IP and PI|M, then NI|M...
- M Mathematics Mike collected milk from 3 of his cows at the dairy farm. from the first cow, he collected 4/5 gallon of milk. the second cow produced 6/8 gallon, and the last cow produced...
- M Mathematics Another question for y all! Thanks so much for the help!!...
- M Mathematics Which equations have a unit rate of change of 4.5 ? select 2 answersA. y = 62 + 4.5x B. c = 4.5 + 3(h - 1)C. c = 12 + 4.5(h - 1)D. y = 3.5x + 1E. y = 4.5 + 20x...
- M Mathematics For which of the following inequalities is x≥4 a solution. x+3≥1 3x≥1 x-3≥1...
- M Mathematics The ratio of the side lengths of a triangle are 2 : 3 : 4, if the smallest side is 13 inches, what is the perimeter of the triangle...
- M Mathematics I WILL GIVE brainiest JUST NEED HELP ASAP...
Ответ:
( - 2 , 21 ) and (1 , -6 )
The tangent is horizontal when dy / dx = 0
dy / dx = 6x² +6x - 12
equate to zero to obtain x - coordinates
6x² + 6x - 12 = 0 ⇒ 6 ( x² + x - 2 ) = 0
6( x + 2 )( x - 1 ) = 0 ⇒ x = - 2 or x = 1
substitute these values into y to obtain corresponding y - coordinates
x = - 2 → y =2(-2)³ + 3(-2)² - 12(-2) + 1 = 21 ⇒ (- 2 , 21)
x = 1 → y = 2 + 3 - 12 + 1 = - 6 ⇒ (1 , - 6 )
Ответ:
(4,-6) and (2,3)
Step-by-step explanation: